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Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems

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 نشر من قبل Ryu Sasaki
 تاريخ النشر 2003
  مجال البحث فيزياء
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An interesting observation was reported by Corrigan-Sasaki that all the frequencies of small oscillations around equilibrium are quantised for Calogero and Sutherland (C-S) systems, typical integrable multi-particle dynamics. We present an analytic proof by applying recent results of Loris-Sasaki. Explicit forms of `classical and quantum eigenfunctions are presented for C-S systems based on any root systems.



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